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Finding the Fourth Proportional to 11,800.85, 17,671.93 and 6,855.50

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Solution

The fourth proportional to 11,800.85, 17,671.93 and 6,855.50 is: 10,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.85 : 17,671.93 = 6,855.50 : x
  2. Step 2: Convert to fraction form
    11,800.85/17,671.93 = 6,855.50/x
  3. Step 3: Cross multiply
    11,800.85x = 17,671.93 × 6,855.50
  4. Step 4: Simplify right side
    11,800.85x = 121,149,943.16
  5. Step 5: Solve for x
    x = 121,149,943.16/11,800.85
  6. Step 6: Final answer
    x = 10,266.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.